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脉冲接种和具有双时滞的SEIR模型
引用本文:徐河苗.脉冲接种和具有双时滞的SEIR模型[J].长治学院学报,2012,29(2):40-44.
作者姓名:徐河苗
作者单位:长治学院数学系,山西长治,046011
摘    要:讨论了一类脉冲接种和具有双时滞的SEIR模型,得到了其无病周期解。结果表明:接种率R*〈1时,疾病消除;接种率R*〉1时,疾病将成为地方病。

关 键 词:脉冲  时滞  阈值

The Effect of Pulse Vaccination on SEIR Model with Two Time Delays
Xu He-miao.The Effect of Pulse Vaccination on SEIR Model with Two Time Delays[J].Journal of Changzhi University,2012,29(2):40-44.
Authors:Xu He-miao
Institution:Xu He-miao(Department of Mathematics Changzhi University,Changzhi Shanxi 046011)
Abstract:In this paper,an SEIR epidemic model with two time delays and pulse vaccination is formulated.The exact infection-free periodic solution of the impulse epidemic system is obtained.Moreover,we show that,if R*<1,the infectious population disappear so the disease dies out.while if R*<1,the infectious population persist.
Keywords:mpulse  time delay  threshold
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